Those lines just in the datasheet just briefly describe the test used to determine those numbers. There's devils in the details. Don't actually use simple rules like that for charging since lithium batteries explode in flames when mischarged. Use a proper charger for them. The faster you charge, the more dangerous it can be.
Yes, when the battery is drained it will show 5.5V and produce no current. However, if it actually drops that low the battery will be over-discharged and be damaged. In the case of lithium batteries that means they are not safe to charge up again. You should go no lower than 3V [per cell], and even that might be too low. You never actually want to drain any type of battery to 0% since that damages them. You don't want to go below 20% for lithium batteries anyways since the voltage drops so steeply after that you won't be properly powering your device anyways.